tag:blogger.com,1999:blog-15628310.post1631565462322041159..comments2024-02-11T22:40:20.959-05:00Comments on Question of the day: One Coin OnlyAnonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-15628310.post-5976579613851535762012-04-05T17:14:42.461-04:002012-04-05T17:14:42.461-04:00Pull a coin from the mixed jar. You know all jars...Pull a coin from the mixed jar. You know all jars are labeled correctly so whatever year comes out of mixed goes there. Consequently, the year that doesn't belong to the jar originally labelled "mixed" belongs to the other unidentified jar. Thus, leaving the last jar as mixed.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-6318901217572304722012-03-29T15:59:13.932-04:002012-03-29T15:59:13.932-04:00Shucks... thanks guys :)Shucks... thanks guys :)oudeishttps://www.blogger.com/profile/02798986999913350014noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-58815000998408180292012-03-28T14:51:45.236-04:002012-03-28T14:51:45.236-04:00Aww darn! For once I was like "Oh yeah! I kno...Aww darn! For once I was like "Oh yeah! I know this one!!!" Only to see I wasn't the first. Although, I'm pretty sure oudeis' answer is probably better than mine would've been :)PikoPiko99noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-46893229040619049632012-03-28T13:55:53.553-04:002012-03-28T13:55:53.553-04:00As always, oudeis, you impress me with the depth o...As always, oudeis, you impress me with the depth of your answer!Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-65272351644938239082012-03-27T13:59:01.549-04:002012-03-27T13:59:01.549-04:00Pick a coin from the container labeled "mixed...Pick a coin from the container labeled "mixed" and examine it. Since we know that the containers are all labeled incorrectly, we also know that this is not in fact a mixed container--and thus that it contains coins from one year only: All of the pennies in the container labeled "mixed" are from the same year as the penny you pull.<br /><br />Suppose you pull a penny from year A from the container labeled "mixed", and determined then that the "mixed" container contains all pennies from year A. Consider the container labeled with year B. This container cannot contain all pennies from year B, since we know that it is mislabeled; and it cannot contain all pennies from year A, since we've already found those pennies; so we conclude that this is in fact the container containing coins from both years. The pennies from year B are to be found in the container labeled with year "A".<br /><br />Results/Implementations:<br /><br />-Pull a 2005 penny from "mixed"-<br />"mixed": 2005 pennies only<br />"1975": both 2005 and 1975 pennies<br />"2005": 1975 pennies only<br /><br />-Pull a 1975 penny from "mixed"-<br />"mixed": 1975 pennies only<br />"1975": 2005 pennies only<br />"2005": both 2005 and 1975 penniesoudeishttps://www.blogger.com/profile/02798986999913350014noreply@blogger.com